Q5)
DES
ABCD is a trapezium. Lines AB and DC are parallel to each other.
GRADI
B
Find the values of x and y.
5x
(4y - 12º)
(4x -- 9°)
(2y
D
С
Diagram not accurately drawn

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

Answers:

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

-------------

Side notes:

Answer:

Step-by-step explanation:

It's about +- 2.2. It equals 2.236067977 but can be rounded to 2.2. When you square root, the answer could be positive or negative.

The square root of 5 to the nearest tenth  is 2.2.

We have to find out the square root of 5 that should be the nearest tenth.

So, the following procedure should be followed:

[tex]= \sqrt{5}\\\\= 2.2360679[/tex]

= 2.2

Therefore we can conclude that the square root of 5 to the nearest tenth  is 2.2.

Learn more about the square root here: brainly.com/question/9664917

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Answer:

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ5

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  

Answer:

its the first top one the 3rd one and the bottom one

Step-by-step explanation:

Answer:

The answer is -70

Step-by-step explanation:

How I got the answer.....

-21-49 = -70

Hope this helps! :)

Answer:

50 Degrees

Step-by-step explanation:

Answer:

DRFHDFG

Step-by-step explanation:

6=6+4

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the triangle proportionally.

The base segment to the right of the bisector is 6-x, so we can write the proportion ...

  x/6 = (6-x)/4

Multiplying by 12, we get ...

  2x = 3(6 -x)

  5x = 18 . . . . . add 3x

  x = 18/5 . . . .  divide by 5

  x = 3.6

_____

Alternate solution

Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:

  left-part / sum-of-both-parts = x/6 = 6/(6+4)

Then the solution is x = 6(6/10) = 36/10 = 3.6.

Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

Answer:

The first one is the right answer

Step-by-step explanation:

Hope this helps have a good day

Answer:

the first one is right

Step-by-step explanation:

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

Answer: How to solve your question

Your question is

4

(

+

5

)

−

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

−

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

−

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

4. Simplify

5. Divide both sides of the equation by the same term  

6. Simplify

Solution  

=

−

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

Answer:

The answer is D. the gas mileage after the additive is used

Step-by-step explanation:

I got 100% on edg!

Answer:

d

Step-by-step explanation:

edge2o2o

Answer:

93.83%

Step-by-step explanation:

2350 - 1200 = 1150

1150/1200 * 100 = 95.83%

4²= 16

Work - 4 x 4 = 16

Work - 2 x 2 x 2 x 2 = 16

Work - 8 x 8 = 64

Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

Answer:

0.45 = 9/20

38% = 19/50

27/50 = 0.54

0.68 = 17/25

80% = 4/5

Step-by-step explanation: